

A261710


Decimal expansion of Integral_{0..Pi/2} x^2*tan(x)*log(sin(x)) dx (negated).


1



2, 2, 7, 7, 1, 4, 4, 7, 9, 9, 7, 9, 5, 7, 9, 1, 6, 0, 6, 0, 6, 5, 5, 8, 0, 2, 6, 2, 6, 2, 1, 4, 7, 0, 3, 3, 4, 9, 3, 8, 4, 3, 9, 1, 3, 5, 5, 5, 0, 3, 1, 7, 2, 8, 8, 7, 1, 9, 1, 7, 9, 3, 4, 9, 0, 0, 0, 5, 1, 3, 3, 0, 4, 4, 3, 4, 8, 0, 8, 0, 7, 7, 2, 6, 1, 2, 6, 6, 3, 7, 0, 0, 7, 9, 8, 7, 0, 1, 5, 4, 4, 3, 6, 6, 4
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OFFSET

0,1


COMMENTS

This integral appears in the expression of the 3rd moment of the distribution of the number of vertices of GoudsmitMiles random polygonal cells.


LINKS

Steven R. Finch, Random Triangles V, December 22, 2010, p. 9. [Cached copy, with permission of the author]


EXAMPLE

0.2277144799795791606065580262621470334938439135550317288719179349...


MATHEMATICA

NIntegrate[x^2*Tan[x]*Log[Sin[x]], {x, 0, Pi/2}, WorkingPrecision > 105] // RealDigits // First


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



